4416226144 has 48 divisors (see below), whose sum is σ = 9490219200. Its totient is φ = 2006239360.

The previous prime is 4416226127. The next prime is 4416226189.

4416226144 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1159347 + ... + 1163149.

It is an arithmetic number, because the mean of its divisors is an integer number (197712900).

Almost surely, 2^4416226144 is an apocalyptic number.

4416226144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4416226144 is an abundant number, since it is smaller than the sum of its proper divisors (5073993056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4416226144 is a wasteful number, since it uses less digits than its factorization.

4416226144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7123 (or 7115 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The square root of 4416226144 is about 66454.6924152087. The cubic root of 4416226144 is about 1640.6543769743.

The spelling of 4416226144 in words is "four billion, four hundred sixteen million, two hundred twenty-six thousand, one hundred forty-four".